• DocumentCode
    2891560
  • Title

    The structure of σ-entropy of fuzzy set

  • Author

    Xiao-Jun Tong ; Qiu-Ming Huang ; Zhou Kang

  • Author_Institution
    Dept. of Math. & Phys., Wuhan Polytech. Univ.
  • fYear
    2006
  • fDate
    13-16 Aug. 2006
  • Firstpage
    1875
  • Lastpage
    1878
  • Abstract
    Based on special additivity of σ-entropy and proposition of monotone function, we study the structure of σ-entropy of fuzzy set. At first, we describe the structure of σ-entropy. Then, with this structure in place, we derive primary propositions of σ-entropy, and a conclusion of the entropy under lp-distance, that is, this entropy of fuzzy set has σ-additivity only if p equals 1.
  • Keywords
    entropy; fuzzy set theory; σ-entropy structure; fuzzy set; monotone function; Entropy; Fuzzy sets;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning and Cybernetics, 2006 International Conference on
  • Conference_Location
    Dalian, China
  • Print_ISBN
    1-4244-0061-9
  • Type

    conf

  • DOI
    10.1109/ICMLC.2006.259054
  • Filename
    4028371